Nusselt Number given viscosity of fluid Calculator

✖The Reynolds Number is a dimensionless quantity that helps predict flow patterns in different fluid flow situations, particularly in determining whether the flow is laminar or turbulent.ⓘ Reynolds Number [Re]			+10% -10%
✖The Prandtl Number is a dimensionless quantity that relates the rate of momentum diffusion to the rate of thermal diffusion in fluid flow, indicating the relative importance of these processes.ⓘ Prandtl Number [Pr]			+10% -10%
✖The Average Viscosity of Fluid is a measure of a fluid's resistance to flow under turbulent conditions, influencing the behavior of fluid movement in pipes and channels.ⓘ Average Viscosity of Fluid [μ_avg]			+10% -10%
✖The Wall Viscosity is the measure of a fluid's resistance to flow along the surface of a wall in turbulent flow conditions.ⓘ Wall Viscosity [μ_wall]			+10% -10%

✖The Nusselt Number is a dimensionless quantity that represents the ratio of convective to conductive heat transfer in fluid flow, indicating the efficiency of heat transfer.ⓘ Nusselt Number given viscosity of fluid [Nu]

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Nusselt Number given viscosity of fluid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nusselt Number = (0.027*Reynolds Number^(0.8))*Prandtl Number^(1/3)*(Average Viscosity of Fluid/Wall Viscosity)^(0.14)
Nu = (0.027*Re^(0.8))*Pr^(1/3)*(μ_avg/μ_wall)^(0.14)
This formula uses 5 Variables

Variables Used

Nusselt Number - The Nusselt Number is a dimensionless quantity that represents the ratio of convective to conductive heat transfer in fluid flow, indicating the efficiency of heat transfer.
Reynolds Number - The Reynolds Number is a dimensionless quantity that helps predict flow patterns in different fluid flow situations, particularly in determining whether the flow is laminar or turbulent.
Prandtl Number - The Prandtl Number is a dimensionless quantity that relates the rate of momentum diffusion to the rate of thermal diffusion in fluid flow, indicating the relative importance of these processes.
Average Viscosity of Fluid - (Measured in Pascal Second) - The Average Viscosity of Fluid is a measure of a fluid's resistance to flow under turbulent conditions, influencing the behavior of fluid movement in pipes and channels.
Wall Viscosity - (Measured in Pascal Second) - The Wall Viscosity is the measure of a fluid's resistance to flow along the surface of a wall in turbulent flow conditions.

STEP 1: Convert Input(s) to Base Unit

Reynolds Number: 5000 --> No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required
Average Viscosity of Fluid: 0.0007353 Pascal Second --> 0.0007353 Pascal Second No Conversion Required
Wall Viscosity: 0.1 Pascal Second --> 0.1 Pascal Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Nu = (0.027*Re^(0.8))*Pr^(1/3)*(μ_avg/μ_wall)^(0.14) --> (0.027*5000^(0.8))*0.7^(1/3)*(0.0007353/0.1)^(0.14)

Evaluating ... ...

Nu = 10.9701059035851

STEP 3: Convert Result to Output's Unit

10.9701059035851 --> No Conversion Required

FINAL ANSWER

10.9701059035851 ≈ 10.97011 <-- Nusselt Number

(Calculation completed in 00.020 seconds)

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< Turbulent Flow Calculators

Friction factor for rough tubes

LaTeX Go Friction Factor = 1.325/((ln((Surface Roughness/3.7*Diameter)+(5.74/(Reynolds Number^0.9))))^2)

Friction factor for Re greater than 2300

LaTeX Go Friction Factor = 0.25*(1.82*log10(Reynolds Number Dia)-1.64)^-2

Friction factor for Re greater than 10000

LaTeX Go Friction Factor = 0.184*Reynolds Number Dia^(-0.2)

Friction factor for transitional turbulent flow

LaTeX Go Friction Factor = 0.316*Reynolds Number Dia^-0.25

Nusselt Number given viscosity of fluid Formula

LaTeX Go

Nusselt Number = (0.027*Reynolds Number^(0.8))*Prandtl Number^(1/3)*(Average Viscosity of Fluid/Wall Viscosity)^(0.14)
Nu = (0.027*Re^(0.8))*Pr^(1/3)*(μ_avg/μ_wall)^(0.14)

What is Fluid Viscosity?

Fluid viscosity is a measure of a fluid's resistance to flow or deformation. It reflects the internal friction between fluid layers as they move relative to each other. High viscosity fluids, like honey, flow slowly, while low viscosity fluids, like water, flow easily. Viscosity is critical in designing systems like pipelines, pumps, and lubricants to ensure efficient and controlled fluid movement.

How to Calculate Nusselt Number given viscosity of fluid?

Nusselt Number given viscosity of fluid calculator uses Nusselt Number = (0.027*Reynolds Number^(0.8))*Prandtl Number^(1/3)*(Average Viscosity of Fluid/Wall Viscosity)^(0.14) to calculate the Nusselt Number, The Nusselt Number given viscosity of fluid formula is defined as the product of ratios between average fluid viscosity and viscosity of the fluid at wall temperature. Nusselt Number is denoted by Nu symbol.

How to calculate Nusselt Number given viscosity of fluid using this online calculator? To use this online calculator for Nusselt Number given viscosity of fluid, enter Reynolds Number (Re), Prandtl Number (Pr), Average Viscosity of Fluid (μ_avg) & Wall Viscosity (μ_wall) and hit the calculate button. Here is how the Nusselt Number given viscosity of fluid calculation can be explained with given input values -> 10.97011 = (0.027*5000^(0.8))*0.7^(1/3)*(0.0007353/0.1)^(0.14).

FAQ

What is Nusselt Number given viscosity of fluid?

The Nusselt Number given viscosity of fluid formula is defined as the product of ratios between average fluid viscosity and viscosity of the fluid at wall temperature and is represented as Nu = (0.027*Re^(0.8))*Pr^(1/3)*(μ_avg/μ_wall)^(0.14) or Nusselt Number = (0.027*Reynolds Number^(0.8))*Prandtl Number^(1/3)*(Average Viscosity of Fluid/Wall Viscosity)^(0.14). The Reynolds Number is a dimensionless quantity that helps predict flow patterns in different fluid flow situations, particularly in determining whether the flow is laminar or turbulent, The Prandtl Number is a dimensionless quantity that relates the rate of momentum diffusion to the rate of thermal diffusion in fluid flow, indicating the relative importance of these processes, The Average Viscosity of Fluid is a measure of a fluid's resistance to flow under turbulent conditions, influencing the behavior of fluid movement in pipes and channels & The Wall Viscosity is the measure of a fluid's resistance to flow along the surface of a wall in turbulent flow conditions.

How to calculate Nusselt Number given viscosity of fluid?

The Nusselt Number given viscosity of fluid formula is defined as the product of ratios between average fluid viscosity and viscosity of the fluid at wall temperature is calculated using Nusselt Number = (0.027*Reynolds Number^(0.8))*Prandtl Number^(1/3)*(Average Viscosity of Fluid/Wall Viscosity)^(0.14). To calculate Nusselt Number given viscosity of fluid, you need Reynolds Number (Re), Prandtl Number (Pr), Average Viscosity of Fluid (μ_avg) & Wall Viscosity (μ_wall). With our tool, you need to enter the respective value for Reynolds Number, Prandtl Number, Average Viscosity of Fluid & Wall Viscosity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Nusselt Number?

In this formula, Nusselt Number uses Reynolds Number, Prandtl Number, Average Viscosity of Fluid & Wall Viscosity. We can use 3 other way(s) to calculate the same, which is/are as follows -

Nusselt Number = 0.036*(Reynolds Number Dia^0.8)*(Prandtl Number^0.33)*(Diameter/Length)^0.055
Nusselt Number = 0.027*Reynolds Number Dia^0.8*Prandtl Number^0.333*(Dynamic Viscosity at Mean Temperature/Dynamic Viscosity at Wall Temperature)^0.14
Nusselt Number = 5+0.025*(Reynolds Number Dia*Prandtl Number)^0.8

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